Question

find the value of x and y if 3x-5y=2 and xy=8​

Answer 1

$\bf{\red{Answer :- }}$

❥ x= 4

❥ y= 2

$\bf{\red{ Explanation :- }}$

❥ 3x - 5y = 2

According to our answer:- x= 4 and y= 2

Put the values in equation

= 3× 4 - 5× 2 = 2

= 12 - 10 = 2

And.

xy=8

= 4×2 = 8

Therefore..x = 4 , y = 2

Answer 2

Given,

Two equations 3x-5y=2 and xy=8​.

To Find,

The value of x and y.

Solution,

We can solve this mathematical problem using the following method.

The method of solving two equations is as follows -

• If it is possible then we have to deduce the value of one variable and then put one other equation.
• Otherwise, we have to choose one variable of one equation( say x) , check its co-efficient (say a), then convert the second equation's the constant of the same variable (x) to the same as the previous one.

We have two equations, 3x-5y=2 . . . . . . . . . (A)

xy=8​. . . . . . . . . . . (B)

From equation (A) we can get,

3x-5y=2

⇒3x=2+5y.

⇒x=$\frac{2+5y}{3}$.

Now put the value in equation (B),

xy=8.

⇒$\frac{2+5y}{3}$×y=8.

⇒5$y^{2}$+2y-24=0.

⇒5$y^{2}$+12y-10y-24=0.

⇒(5y+12)(y-2)=0.

⇒Either y=2 or, y=$-\frac{12}{5}$.

Now put the value of y in equation (B),

So, either,

2.x=8.

⇒x=4.

Or,

$-\frac{12}{5}$.x =8.

⇒x=$\frac{10}{3}$.

So the value of x, y can be, either x=4,y=2. Or, x=$\frac{10}{3}$ , y=$\frac{10}{3}$.

Hence, from two equations we get the value of x, y is either x=4,y=2. Or, x=$\frac{10}{3}$ , y=$\frac{10}{3}$.